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Finding the Fourth Proportional to 377.83, 520.59 and 358

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Solution

The fourth proportional to 377.83, 520.59 and 358 is: 493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.83 : 520.59 = 358 : x
  2. Step 2: Convert to fraction form
    377.83/520.59 = 358/x
  3. Step 3: Cross multiply
    377.83x = 520.59 × 358
  4. Step 4: Simplify right side
    377.83x = 186,371.22
  5. Step 5: Solve for x
    x = 186,371.22/377.83
  6. Step 6: Final answer
    x = 493.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.